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PNLDE Subseries in Control

Boundary Synchronization for Hyperbolic Systems

Authors: Li, Tatsien, Rao, Bopeng

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  • Opens a wide research subject by incorporating the study of synchronization into the field of control
  • Introduces a complete theory for treating the exact and approximate boundary synchronizations for a coupled system of wave equations 
  • Outlines the solutions not only for exact boundary synchronization, but also for situations where there is further lack of boundary controls for approximate boundary synchronization
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eBook 28,88 €
71,68 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-32849-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 51,99 €
124,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-32848-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 36,39 €
88,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-32851-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs). By combining synchronization with controllability, they introduce the study of synchronization to the field of control and add new perspectives to the investigation of synchronization for systems of PDEs. With a focus on synchronization for a coupled system of wave equations, the text is divided into three parts corresponding to Dirichlet, Neumann, and coupled Robin boundary controls. Each part is then subdivided into chapters detailing exact boundary synchronization and approximate boundary synchronization, respectively. The core intention is to give artificial intervention to the evolution of state variables through appropriate boundary controls for realizing the synchronization in a finite time, creating a novel viewpoint into the investigation of synchronization for systems of partial differential equations, and revealing some essentially dissimilar characteristics from systems of ordinary differential equations. 

Primarily aimed at researchers and graduate students of applied mathematics and applied sciences, this text will particularly appeal to those interested in applied PDEs and control theory for distributed parameter systems. 


Reviews

“The book is well organized and presents the most important notions of boundary synchronization for hyperbolic systems. The book is suitable for senior undergraduate and graduate students as well as practical engineers, scientist and researchers interested in boundary synchronization for hyperbolic systems.” (Seenith Sivasundaram, zbMATH 1443.93002, 2020)


Table of contents (32 chapters)

Table of contents (32 chapters)

Buy this book

eBook 28,88 €
71,68 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-32849-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 51,99 €
124,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-32848-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 36,39 €
88,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-32851-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Boundary Synchronization for Hyperbolic Systems
Authors
Series Title
PNLDE Subseries in Control
Series Volume
94
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-32849-8
DOI
10.1007/978-3-030-32849-8
Hardcover ISBN
978-3-030-32848-1
Softcover ISBN
978-3-030-32851-1
Edition Number
1
Number of Pages
X, 333
Number of Illustrations
1 b/w illustrations, 1 illustrations in colour
Topics